Browsing by Author "Bhandarkar, Sarvotham M."
Now showing 1 - 3 of 3
Results Per Page
Sort Options
Item An Experimental versus Numerical Shape Optimization Method.(1988) Azarm, Shapour; Bhandarkar, Sarvotham M.; Durelli, A.J.; ISRThis paper describes and compares an experimental and a numerical method for shape optimization of continuum structures. The experimental method is based on a systematic application of photoelasticity. The numerical method is based on coupling of a finite element analysis and an optimization method. The paper demonstrates the importance of designer's interaction during the shape optimization process. The discussion is made taking shape optimization of a hole in a tall beam as an example.Item Numerical and Experimental Shape Optimal Design of a Hole in a Tall Beam(1988) Bhandarkar, Sarvotham M.; Azarm, Shapour; ISRShape optimal design is a structural optimization process in which the boundary shapes of structures are optimized to meet a set of requirements. This is in contrast with early strategies which dealt mostly with the so-called sizing variables such as cross-section, length and width, rather than with the shape of boundaries. This thesis deals with the optimization of the shape of an interior discontinuity (hole) in a two-dimensional strucure, namely a tall beam. The objective is to find hole shapes with approximately uniform boundary stress to reduce the weight of the beam without increasing the maximum tensile stress originally present in the beam. Two approaches are used: 1. A numerical approach using finite element analysis, non-linear programming and interactive graphics.2. An experimental approach using photoelasticity. The hole shapes obtained from the two approaches match quite well. A CAD approach is also presented to simulate the photoelastic method. The methods described in the thesis can be used for a wide variety of two-dimensional structural problems, including reduction of weight, minimization of stress concentration and other design objectives.
Item Optimized Hole Shapes in a Tall Beam.(1988) Durelli, A.J.; Azarm, Shapour; Bhandarkar, Sarvotham M.; ISRThis paper follows a recent paper in Experimental Mechanics, also dealing with optimization. The objectives besides the attempt at optimizations of the design of in-plane loaded tall beams are 1) to discuss the properties of some of the designs Obtained; and 2) to compare and evaluate experimental and numerical methods. The optimal hole shape introduced in the beam decreases its weight, has an approximately uniform tangential stress along its boundary and does not increase the maximum tensile stress present originally in the solid beam. The numerical method used is based on finite element analysis and non-linear programming. The experimental method is based on photoelasticity. Emphasis is placed on the results obtained rather than on the description of the methodologies. Practical difficulties, assumptions, accuracy, and the applicability of the two methods are also discussed.